Search a number
-
+
14540445210 = 23519235092179
BaseRepresentation
bin11011000101010110…
…11001011000011010
31101112100102011000210
431202223121120122
5214234323221320
610402500111550
71023216513354
oct154253313032
941470364023
1014540445210
11619177a775
1229996955b6
1314a9585345
149bd19a0d4
155a17da0e0
hex362ad961a

14540445210 has 128 divisors (see below), whose sum is σ = 38423808000. Its totient is φ = 3505151232.

The previous prime is 14540445203. The next prime is 14540445211. The reversal of 14540445210 is 1254404541.

14540445210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145404452102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14540445211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6671901 + ... + 6674079.

It is an arithmetic number, because the mean of its divisors is an integer number (300186000).

Almost surely, 214540445210 is an apocalyptic number.

14540445210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14540445210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211904000).

14540445210 is an abundant number, since it is smaller than the sum of its proper divisors (23883362790).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14540445210 is a wasteful number, since it uses less digits than its factorization.

14540445210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740.

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 14540445210 its reverse (1254404541), we get a palindrome (15794849751).

The spelling of 14540445210 in words is "fourteen billion, five hundred forty million, four hundred forty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 23 30 38 46 57 69 95 114 115 138 190 230 285 345 437 509 570 690 874 1018 1311 1527 2179 2185 2545 2622 3054 4358 4370 5090 6537 6555 7635 9671 10895 11707 13074 13110 15270 19342 21790 23414 29013 32685 35121 41401 48355 50117 58026 58535 65370 70242 82802 96710 100234 117070 124203 145065 150351 175605 207005 222433 248406 250585 290130 300702 351210 414010 444866 501170 621015 667299 751755 952223 1109111 1112165 1242030 1334598 1503510 1904446 2218222 2224330 2856669 3327333 3336495 4761115 5545555 5713338 6654666 6672990 9522230 11091110 14283345 16636665 21073109 25509553 28566690 33273330 42146218 51019106 63219327 76528659 105365545 126438654 127547765 153057318 210731090 255095530 316096635 382643295 484681507 632193270 765286590 969363014 1454044521 2423407535 2908089042 4846815070 7270222605 14540445210